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Finding the Third Proportional to 249,738 and 535,206

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Solution

The third proportional to 249,738 and 535,206 is: 1,146,983.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,738 : 535,206 = 535,206 : x
  2. Step 2: Convert to fraction form
    249,738/535,206 = 535,206/x
  3. Step 3: Cross multiply
    249,738x = 535,206 × 535,206
  4. Step 4: Simplify right side
    249,738x = 286,445,462,436
  5. Step 5: Solve for x
    x = 286,445,462,436/249,738
  6. Step 6: Final answer
    x = 1,146,983.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.